What is the surface area of a sphere if the volume is 3000 pi

228.95 cm2 / 229 cm2

Step-by-step explanation:

Volume of a sphere is given by;

V = (4/3)πr3

So in this question we have to find the radius of the sphere to enable us find the surface area.

Therefore let's find the radius using the volume formula;

3000π = (4/3)πr3

Divide through by (4/3)π

r3 = 2250

r =3√2250 (cube root of 2250)

r = 13.104cm2

Since we have gotten the radius, let's calculate the surface area using the formula;

A = (4/3)πr^2

= (4/3) × π × 13.104^2

= 228.95 π cm2 or 229 cm2

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168